IDEAS home Printed from https://ideas.repec.org/a/sae/envirb/v26y1999i2p265-280.html
   My bibliography  Save this article

A Face Vector Representation for the Construction of Polyhedra

Author

Listed:
  • M A Rosenman

    (Key Centre of Design Computing, Department of Architectural and Design Science, University of Sydney, Sydney, Australia 2006)

Abstract

In this paper I will present a methodology for the stepwise construction of complex polyhedra from basic primitive polyhedra by using a vector representation as a generalization of the two-dimensional vector approach used for the construction of polygons. Starting with the concept of an atomic polyhedral cell, a voxel , I will construct configurations of polyhedra through the stepwise ‘gluing’ of equal and opposite faces. A vector approach for the representation of polyhedra, in which polyhedra are represented as a closed loop of polygonal faces which in turn are represented as a closed loop of edge vectors, is proposed. A rule is postulated for the joining of two polyhedra in face-to-face contact through the addition of equal and opposite faces where such faces are an extension of equal and opposite vectors. Examples of cubic constructions and octahedral-tetrahedral constructions are given.

Suggested Citation

  • M A Rosenman, 1999. "A Face Vector Representation for the Construction of Polyhedra," Environment and Planning B, , vol. 26(2), pages 265-280, April.
    • Handle: RePEc:sae:envirb:v:26:y:1999:i:2:p:265-280
    DOI: 10.1068/b2513
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/b2513
    Download Restriction: no
    File URL: https://libkey.io/10.1068/b2513?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envirb:v:26:y:1999:i:2:p:265-280. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.